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Finding the Third Proportional to 803,138 and 1,243,588

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Solution

The third proportional to 803,138 and 1,243,588 is: 1,925,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,138 : 1,243,588 = 1,243,588 : x
  2. Step 2: Convert to fraction form
    803,138/1,243,588 = 1,243,588/x
  3. Step 3: Cross multiply
    803,138x = 1,243,588 × 1,243,588
  4. Step 4: Simplify right side
    803,138x = 1,546,511,113,744
  5. Step 5: Solve for x
    x = 1,546,511,113,744/803,138
  6. Step 6: Final answer
    x = 1,925,585.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.